The set of mildly regular boundary points has full caloric measure

DOI10.1112/TLM3.12052zbMath1530.35122MaRDI QIDQ6181288

Neil A. Watson

Publication date: 2 January 2024

Published in: Transactions of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

zones of influence

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Cites Work

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• Cofine boundary behaviour of temperatures
• Harmonic spaces and their potential theory
• A new proof of the fundamental theorem of Kellogg-Evans on the set of irregular points in the Dirichlet problem
• Caloric Measure Null Sets
• A Hausdorff measure classification of polar sets for the heat equation
• Green Functions, Potentials, and the Dirichlet Problem for the Heat Equation
• CALORIC MEASURE FOR ARBITRARY OPEN SETS
• A Theory of Subtemperatures in Several Variables

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